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Finding the Fourth Proportional to 332.16, 494.72 and 314.81

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Solution

The fourth proportional to 332.16, 494.72 and 314.81 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 494.72 = 314.81 : x
  2. Step 2: Convert to fraction form
    332.16/494.72 = 314.81/x
  3. Step 3: Cross multiply
    332.16x = 494.72 × 314.81
  4. Step 4: Simplify right side
    332.16x = 155,744.83
  5. Step 5: Solve for x
    x = 155,744.83/332.16
  6. Step 6: Final answer
    x = 468.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.