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Finding the Fourth Proportional to 315.81, 471.15 and 304.88

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Solution

The fourth proportional to 315.81, 471.15 and 304.88 is: 454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 471.15 = 304.88 : x
  2. Step 2: Convert to fraction form
    315.81/471.15 = 304.88/x
  3. Step 3: Cross multiply
    315.81x = 471.15 × 304.88
  4. Step 4: Simplify right side
    315.81x = 143,641.86
  5. Step 5: Solve for x
    x = 143,641.86/315.81
  6. Step 6: Final answer
    x = 454.84

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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.