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Finding the Fourth Proportional to 315.18, 470.25 and 284.52

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Solution

The fourth proportional to 315.18, 470.25 and 284.52 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 470.25 = 284.52 : x
  2. Step 2: Convert to fraction form
    315.18/470.25 = 284.52/x
  3. Step 3: Cross multiply
    315.18x = 470.25 × 284.52
  4. Step 4: Simplify right side
    315.18x = 133,795.53
  5. Step 5: Solve for x
    x = 133,795.53/315.18
  6. Step 6: Final answer
    x = 424.51

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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.