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Finding the Fourth Proportional to 288.55, 397.34 and 272.53

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Solution

The fourth proportional to 288.55, 397.34 and 272.53 is: 375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.55 : 397.34 = 272.53 : x
  2. Step 2: Convert to fraction form
    288.55/397.34 = 272.53/x
  3. Step 3: Cross multiply
    288.55x = 397.34 × 272.53
  4. Step 4: Simplify right side
    288.55x = 108,285.71
  5. Step 5: Solve for x
    x = 108,285.71/288.55
  6. Step 6: Final answer
    x = 375.28

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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.