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Finding the Fourth Proportional to 222.80, 307.33 and 152.74

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Solution

The fourth proportional to 222.80, 307.33 and 152.74 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.80 : 307.33 = 152.74 : x
  2. Step 2: Convert to fraction form
    222.80/307.33 = 152.74/x
  3. Step 3: Cross multiply
    222.80x = 307.33 × 152.74
  4. Step 4: Simplify right side
    222.80x = 46,941.58
  5. Step 5: Solve for x
    x = 46,941.58/222.80
  6. Step 6: Final answer
    x = 210.69

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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.