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Finding the Fourth Proportional to 478, 659.18 and 312.34

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Solution

The fourth proportional to 478, 659.18 and 312.34 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 659.18 = 312.34 : x
  2. Step 2: Convert to fraction form
    478/659.18 = 312.34/x
  3. Step 3: Cross multiply
    478x = 659.18 × 312.34
  4. Step 4: Simplify right side
    478x = 205,888.28
  5. Step 5: Solve for x
    x = 205,888.28/478
  6. Step 6: Final answer
    x = 430.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.