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Finding the Fourth Proportional to 67.40, 93 and 37.89

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Solution

The fourth proportional to 67.40, 93 and 37.89 is: 52.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.40 : 93 = 37.89 : x
  2. Step 2: Convert to fraction form
    67.40/93 = 37.89/x
  3. Step 3: Cross multiply
    67.40x = 93 × 37.89
  4. Step 4: Simplify right side
    67.40x = 3,523.77
  5. Step 5: Solve for x
    x = 3,523.77/67.40
  6. Step 6: Final answer
    x = 52.28

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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.