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Finding the Fourth Proportional to 253.40, 378.26 and 237.20

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Solution

The fourth proportional to 253.40, 378.26 and 237.20 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 378.26 = 237.20 : x
  2. Step 2: Convert to fraction form
    253.40/378.26 = 237.20/x
  3. Step 3: Cross multiply
    253.40x = 378.26 × 237.20
  4. Step 4: Simplify right side
    253.40x = 89,723.27
  5. Step 5: Solve for x
    x = 89,723.27/253.40
  6. Step 6: Final answer
    x = 354.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.