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Finding the Fourth Proportional to 60.16, 90.64 and 46

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Solution

The fourth proportional to 60.16, 90.64 and 46 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.16 : 90.64 = 46 : x
  2. Step 2: Convert to fraction form
    60.16/90.64 = 46/x
  3. Step 3: Cross multiply
    60.16x = 90.64 × 46
  4. Step 4: Simplify right side
    60.16x = 4,169.44
  5. Step 5: Solve for x
    x = 4,169.44/60.16
  6. Step 6: Final answer
    x = 69.31

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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.