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Finding the Fourth Proportional to 315.78, 474.06 and 243.68

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Solution

The fourth proportional to 315.78, 474.06 and 243.68 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 474.06 = 243.68 : x
  2. Step 2: Convert to fraction form
    315.78/474.06 = 243.68/x
  3. Step 3: Cross multiply
    315.78x = 474.06 × 243.68
  4. Step 4: Simplify right side
    315.78x = 115,518.94
  5. Step 5: Solve for x
    x = 115,518.94/315.78
  6. Step 6: Final answer
    x = 365.82

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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.