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Finding the Fourth Proportional to 222.75, 307.53 and 145.26

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Solution

The fourth proportional to 222.75, 307.53 and 145.26 is: 200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 307.53 = 145.26 : x
  2. Step 2: Convert to fraction form
    222.75/307.53 = 145.26/x
  3. Step 3: Cross multiply
    222.75x = 307.53 × 145.26
  4. Step 4: Simplify right side
    222.75x = 44,671.81
  5. Step 5: Solve for x
    x = 44,671.81/222.75
  6. Step 6: Final answer
    x = 200.55

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Find fourth proportional to 111.38, 153.77 and 72.63
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.