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Finding the Fourth Proportional to 424.81, 586.23 and 247.78

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Solution

The fourth proportional to 424.81, 586.23 and 247.78 is: 341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.81 : 586.23 = 247.78 : x
  2. Step 2: Convert to fraction form
    424.81/586.23 = 247.78/x
  3. Step 3: Cross multiply
    424.81x = 586.23 × 247.78
  4. Step 4: Simplify right side
    424.81x = 145,254.43
  5. Step 5: Solve for x
    x = 145,254.43/424.81
  6. Step 6: Final answer
    x = 341.93

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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.