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Finding the Fourth Proportional to 403.04, 552.56 and 392.16

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Solution

The fourth proportional to 403.04, 552.56 and 392.16 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.04 : 552.56 = 392.16 : x
  2. Step 2: Convert to fraction form
    403.04/552.56 = 392.16/x
  3. Step 3: Cross multiply
    403.04x = 552.56 × 392.16
  4. Step 4: Simplify right side
    403.04x = 216,691.93
  5. Step 5: Solve for x
    x = 216,691.93/403.04
  6. Step 6: Final answer
    x = 537.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.