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Finding the Fourth Proportional to 432.87, 597.47 and 258.27

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Solution

The fourth proportional to 432.87, 597.47 and 258.27 is: 356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.87 : 597.47 = 258.27 : x
  2. Step 2: Convert to fraction form
    432.87/597.47 = 258.27/x
  3. Step 3: Cross multiply
    432.87x = 597.47 × 258.27
  4. Step 4: Simplify right side
    432.87x = 154,307.29
  5. Step 5: Solve for x
    x = 154,307.29/432.87
  6. Step 6: Final answer
    x = 356.47

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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.