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Finding the Fourth Proportional to 478.34, 717.27 and 153.66

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Solution

The fourth proportional to 478.34, 717.27 and 153.66 is: 230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.34 : 717.27 = 153.66 : x
  2. Step 2: Convert to fraction form
    478.34/717.27 = 153.66/x
  3. Step 3: Cross multiply
    478.34x = 717.27 × 153.66
  4. Step 4: Simplify right side
    478.34x = 110,215.71
  5. Step 5: Solve for x
    x = 110,215.71/478.34
  6. Step 6: Final answer
    x = 230.41

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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.