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Finding the Fourth Proportional to 432.47, 596.81 and 285.19

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Solution

The fourth proportional to 432.47, 596.81 and 285.19 is: 393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.47 : 596.81 = 285.19 : x
  2. Step 2: Convert to fraction form
    432.47/596.81 = 285.19/x
  3. Step 3: Cross multiply
    432.47x = 596.81 × 285.19
  4. Step 4: Simplify right side
    432.47x = 170,199.83
  5. Step 5: Solve for x
    x = 170,199.83/432.47
  6. Step 6: Final answer
    x = 393.55

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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.