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Finding the Fourth Proportional to 457.15, 686.18 and 355.55

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Solution

The fourth proportional to 457.15, 686.18 and 355.55 is: 533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.15 : 686.18 = 355.55 : x
  2. Step 2: Convert to fraction form
    457.15/686.18 = 355.55/x
  3. Step 3: Cross multiply
    457.15x = 686.18 × 355.55
  4. Step 4: Simplify right side
    457.15x = 243,968.76
  5. Step 5: Solve for x
    x = 243,968.76/457.15
  6. Step 6: Final answer
    x = 533.68

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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.