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Finding the Fourth Proportional to 416.16, 572.88 and 332.64

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Solution

The fourth proportional to 416.16, 572.88 and 332.64 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 572.88 = 332.64 : x
  2. Step 2: Convert to fraction form
    416.16/572.88 = 332.64/x
  3. Step 3: Cross multiply
    416.16x = 572.88 × 332.64
  4. Step 4: Simplify right side
    416.16x = 190,562.80
  5. Step 5: Solve for x
    x = 190,562.80/416.16
  6. Step 6: Final answer
    x = 457.91

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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.