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Finding the Fourth Proportional to 279.23, 420.31 and 237.47

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Solution

The fourth proportional to 279.23, 420.31 and 237.47 is: 357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.23 : 420.31 = 237.47 : x
  2. Step 2: Convert to fraction form
    279.23/420.31 = 237.47/x
  3. Step 3: Cross multiply
    279.23x = 420.31 × 237.47
  4. Step 4: Simplify right side
    279.23x = 99,811.02
  5. Step 5: Solve for x
    x = 99,811.02/279.23
  6. Step 6: Final answer
    x = 357.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.