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Finding the Fourth Proportional to 46.58, 70.17 and 40.56

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Solution

The fourth proportional to 46.58, 70.17 and 40.56 is: 61.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.58 : 70.17 = 40.56 : x
  2. Step 2: Convert to fraction form
    46.58/70.17 = 40.56/x
  3. Step 3: Cross multiply
    46.58x = 70.17 × 40.56
  4. Step 4: Simplify right side
    46.58x = 2,845.89
  5. Step 5: Solve for x
    x = 2,845.89/46.58
  6. Step 6: Final answer
    x = 61.10

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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.