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Finding the Fourth Proportional to 46.95, 70.72 and 42.94

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Solution

The fourth proportional to 46.95, 70.72 and 42.94 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.95 : 70.72 = 42.94 : x
  2. Step 2: Convert to fraction form
    46.95/70.72 = 42.94/x
  3. Step 3: Cross multiply
    46.95x = 70.72 × 42.94
  4. Step 4: Simplify right side
    46.95x = 3,036.72
  5. Step 5: Solve for x
    x = 3,036.72/46.95
  6. Step 6: Final answer
    x = 64.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.