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Finding the Fourth Proportional to 457.60, 686.16 and 183.52

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Solution

The fourth proportional to 457.60, 686.16 and 183.52 is: 275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.60 : 686.16 = 183.52 : x
  2. Step 2: Convert to fraction form
    457.60/686.16 = 183.52/x
  3. Step 3: Cross multiply
    457.60x = 686.16 × 183.52
  4. Step 4: Simplify right side
    457.60x = 125,924.08
  5. Step 5: Solve for x
    x = 125,924.08/457.60
  6. Step 6: Final answer
    x = 275.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.