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Finding the Fourth Proportional to 144.04, 215.70 and 89.77

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Solution

The fourth proportional to 144.04, 215.70 and 89.77 is: 134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 215.70 = 89.77 : x
  2. Step 2: Convert to fraction form
    144.04/215.70 = 89.77/x
  3. Step 3: Cross multiply
    144.04x = 215.70 × 89.77
  4. Step 4: Simplify right side
    144.04x = 19,363.39
  5. Step 5: Solve for x
    x = 19,363.39/144.04
  6. Step 6: Final answer
    x = 134.43

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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.