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Finding the Fourth Proportional to 144.15, 215.76 and 113.77

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Solution

The fourth proportional to 144.15, 215.76 and 113.77 is: 170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.15 : 215.76 = 113.77 : x
  2. Step 2: Convert to fraction form
    144.15/215.76 = 113.77/x
  3. Step 3: Cross multiply
    144.15x = 215.76 × 113.77
  4. Step 4: Simplify right side
    144.15x = 24,547.71
  5. Step 5: Solve for x
    x = 24,547.71/144.15
  6. Step 6: Final answer
    x = 170.30

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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.