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Finding the Fourth Proportional to 431.18, 595.05 and 234.70

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Solution

The fourth proportional to 431.18, 595.05 and 234.70 is: 323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.18 : 595.05 = 234.70 : x
  2. Step 2: Convert to fraction form
    431.18/595.05 = 234.70/x
  3. Step 3: Cross multiply
    431.18x = 595.05 × 234.70
  4. Step 4: Simplify right side
    431.18x = 139,658.10
  5. Step 5: Solve for x
    x = 139,658.10/431.18
  6. Step 6: Final answer
    x = 323.90

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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.