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Finding the Fourth Proportional to 332.16, 457.38 and 285.47

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Solution

The fourth proportional to 332.16, 457.38 and 285.47 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 457.38 = 285.47 : x
  2. Step 2: Convert to fraction form
    332.16/457.38 = 285.47/x
  3. Step 3: Cross multiply
    332.16x = 457.38 × 285.47
  4. Step 4: Simplify right side
    332.16x = 130,565.98
  5. Step 5: Solve for x
    x = 130,565.98/332.16
  6. Step 6: Final answer
    x = 393.08

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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.