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Finding the Fourth Proportional to 316.20, 470.93 and 304.86

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Solution

The fourth proportional to 316.20, 470.93 and 304.86 is: 454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.20 : 470.93 = 304.86 : x
  2. Step 2: Convert to fraction form
    316.20/470.93 = 304.86/x
  3. Step 3: Cross multiply
    316.20x = 470.93 × 304.86
  4. Step 4: Simplify right side
    316.20x = 143,567.72
  5. Step 5: Solve for x
    x = 143,567.72/316.20
  6. Step 6: Final answer
    x = 454.04

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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.