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Finding the Fourth Proportional to 73.48, 101.40 and 40.72

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Solution

The fourth proportional to 73.48, 101.40 and 40.72 is: 56.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.48 : 101.40 = 40.72 : x
  2. Step 2: Convert to fraction form
    73.48/101.40 = 40.72/x
  3. Step 3: Cross multiply
    73.48x = 101.40 × 40.72
  4. Step 4: Simplify right side
    73.48x = 4,129.01
  5. Step 5: Solve for x
    x = 4,129.01/73.48
  6. Step 6: Final answer
    x = 56.19

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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.