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Finding the Fourth Proportional to 424.83, 586.23 and 238.31

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Solution

The fourth proportional to 424.83, 586.23 and 238.31 is: 328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 586.23 = 238.31 : x
  2. Step 2: Convert to fraction form
    424.83/586.23 = 238.31/x
  3. Step 3: Cross multiply
    424.83x = 586.23 × 238.31
  4. Step 4: Simplify right side
    424.83x = 139,704.47
  5. Step 5: Solve for x
    x = 139,704.47/424.83
  6. Step 6: Final answer
    x = 328.85

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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.