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Finding the Fourth Proportional to 318.15, 473.69 and 316.35

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Solution

The fourth proportional to 318.15, 473.69 and 316.35 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.15 : 473.69 = 316.35 : x
  2. Step 2: Convert to fraction form
    318.15/473.69 = 316.35/x
  3. Step 3: Cross multiply
    318.15x = 473.69 × 316.35
  4. Step 4: Simplify right side
    318.15x = 149,852.62
  5. Step 5: Solve for x
    x = 149,852.62/318.15
  6. Step 6: Final answer
    x = 471.01

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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.