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Finding the Fourth Proportional to 46.42, 69.35 and 42.16

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Solution

The fourth proportional to 46.42, 69.35 and 42.16 is: 62.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 69.35 = 42.16 : x
  2. Step 2: Convert to fraction form
    46.42/69.35 = 42.16/x
  3. Step 3: Cross multiply
    46.42x = 69.35 × 42.16
  4. Step 4: Simplify right side
    46.42x = 2,923.80
  5. Step 5: Solve for x
    x = 2,923.80/46.42
  6. Step 6: Final answer
    x = 62.99

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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.