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Finding the Fourth Proportional to 315.86, 474.88 and 248.20

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Solution

The fourth proportional to 315.86, 474.88 and 248.20 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.86 : 474.88 = 248.20 : x
  2. Step 2: Convert to fraction form
    315.86/474.88 = 248.20/x
  3. Step 3: Cross multiply
    315.86x = 474.88 × 248.20
  4. Step 4: Simplify right side
    315.86x = 117,864.83
  5. Step 5: Solve for x
    x = 117,864.83/315.86
  6. Step 6: Final answer
    x = 373.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.