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Finding the Fourth Proportional to 315.52, 470.24 and 309.12

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Solution

The fourth proportional to 315.52, 470.24 and 309.12 is: 460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 470.24 = 309.12 : x
  2. Step 2: Convert to fraction form
    315.52/470.24 = 309.12/x
  3. Step 3: Cross multiply
    315.52x = 470.24 × 309.12
  4. Step 4: Simplify right side
    315.52x = 145,360.59
  5. Step 5: Solve for x
    x = 145,360.59/315.52
  6. Step 6: Final answer
    x = 460.70

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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.