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Finding the Fourth Proportional to 318.40, 473.84 and 315.16

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Solution

The fourth proportional to 318.40, 473.84 and 315.16 is: 469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.40 : 473.84 = 315.16 : x
  2. Step 2: Convert to fraction form
    318.40/473.84 = 315.16/x
  3. Step 3: Cross multiply
    318.40x = 473.84 × 315.16
  4. Step 4: Simplify right side
    318.40x = 149,335.41
  5. Step 5: Solve for x
    x = 149,335.41/318.40
  6. Step 6: Final answer
    x = 469.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.