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Finding the Fourth Proportional to 316.40, 473.22 and 287.30

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Solution

The fourth proportional to 316.40, 473.22 and 287.30 is: 429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 473.22 = 287.30 : x
  2. Step 2: Convert to fraction form
    316.40/473.22 = 287.30/x
  3. Step 3: Cross multiply
    316.40x = 473.22 × 287.30
  4. Step 4: Simplify right side
    316.40x = 135,953.74
  5. Step 5: Solve for x
    x = 135,953.74/316.40
  6. Step 6: Final answer
    x = 429.70

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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.