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Finding the Fourth Proportional to 457.65, 686.53 and 226.50

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Solution

The fourth proportional to 457.65, 686.53 and 226.50 is: 339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 686.53 = 226.50 : x
  2. Step 2: Convert to fraction form
    457.65/686.53 = 226.50/x
  3. Step 3: Cross multiply
    457.65x = 686.53 × 226.50
  4. Step 4: Simplify right side
    457.65x = 155,495.48
  5. Step 5: Solve for x
    x = 155,495.48/457.65
  6. Step 6: Final answer
    x = 339.77

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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.