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Finding the Fourth Proportional to 223.30, 307.96 and 145.63

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Solution

The fourth proportional to 223.30, 307.96 and 145.63 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.30 : 307.96 = 145.63 : x
  2. Step 2: Convert to fraction form
    223.30/307.96 = 145.63/x
  3. Step 3: Cross multiply
    223.30x = 307.96 × 145.63
  4. Step 4: Simplify right side
    223.30x = 44,848.21
  5. Step 5: Solve for x
    x = 44,848.21/223.30
  6. Step 6: Final answer
    x = 200.84

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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.