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Finding the Fourth Proportional to 590.30, 885.76 and 243.90

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Solution

The fourth proportional to 590.30, 885.76 and 243.90 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 885.76 = 243.90 : x
  2. Step 2: Convert to fraction form
    590.30/885.76 = 243.90/x
  3. Step 3: Cross multiply
    590.30x = 885.76 × 243.90
  4. Step 4: Simplify right side
    590.30x = 216,036.86
  5. Step 5: Solve for x
    x = 216,036.86/590.30
  6. Step 6: Final answer
    x = 365.98

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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.