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Finding the Fourth Proportional to 590.92, 815.25 and 342.19

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Solution

The fourth proportional to 590.92, 815.25 and 342.19 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 815.25 = 342.19 : x
  2. Step 2: Convert to fraction form
    590.92/815.25 = 342.19/x
  3. Step 3: Cross multiply
    590.92x = 815.25 × 342.19
  4. Step 4: Simplify right side
    590.92x = 278,970.40
  5. Step 5: Solve for x
    x = 278,970.40/590.92
  6. Step 6: Final answer
    x = 472.10

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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.