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Finding the Fourth Proportional to 37.40, 51.54 and 34.20

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Solution

The fourth proportional to 37.40, 51.54 and 34.20 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.40 : 51.54 = 34.20 : x
  2. Step 2: Convert to fraction form
    37.40/51.54 = 34.20/x
  3. Step 3: Cross multiply
    37.40x = 51.54 × 34.20
  4. Step 4: Simplify right side
    37.40x = 1,762.67
  5. Step 5: Solve for x
    x = 1,762.67/37.40
  6. Step 6: Final answer
    x = 47.13

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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.