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Finding the Fourth Proportional to 469.19, 703.79 and 144.58

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Solution

The fourth proportional to 469.19, 703.79 and 144.58 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.19 : 703.79 = 144.58 : x
  2. Step 2: Convert to fraction form
    469.19/703.79 = 144.58/x
  3. Step 3: Cross multiply
    469.19x = 703.79 × 144.58
  4. Step 4: Simplify right side
    469.19x = 101,753.24
  5. Step 5: Solve for x
    x = 101,753.24/469.19
  6. Step 6: Final answer
    x = 216.87

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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.