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Finding the Fourth Proportional to 432.67, 597.07 and 266.88

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Solution

The fourth proportional to 432.67, 597.07 and 266.88 is: 368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.67 : 597.07 = 266.88 : x
  2. Step 2: Convert to fraction form
    432.67/597.07 = 266.88/x
  3. Step 3: Cross multiply
    432.67x = 597.07 × 266.88
  4. Step 4: Simplify right side
    432.67x = 159,346.38
  5. Step 5: Solve for x
    x = 159,346.38/432.67
  6. Step 6: Final answer
    x = 368.29

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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.