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Finding the Fourth Proportional to 47.47, 70.70 and 46.93

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Solution

The fourth proportional to 47.47, 70.70 and 46.93 is: 69.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.47 : 70.70 = 46.93 : x
  2. Step 2: Convert to fraction form
    47.47/70.70 = 46.93/x
  3. Step 3: Cross multiply
    47.47x = 70.70 × 46.93
  4. Step 4: Simplify right side
    47.47x = 3,317.95
  5. Step 5: Solve for x
    x = 3,317.95/47.47
  6. Step 6: Final answer
    x = 69.90

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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.