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Finding the Fourth Proportional to 146.77, 219.98 and 60.10

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Solution

The fourth proportional to 146.77, 219.98 and 60.10 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 219.98 = 60.10 : x
  2. Step 2: Convert to fraction form
    146.77/219.98 = 60.10/x
  3. Step 3: Cross multiply
    146.77x = 219.98 × 60.10
  4. Step 4: Simplify right side
    146.77x = 13,220.50
  5. Step 5: Solve for x
    x = 13,220.50/146.77
  6. Step 6: Final answer
    x = 90.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.