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Finding the Fourth Proportional to 315.63, 471.15 and 279.59

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Solution

The fourth proportional to 315.63, 471.15 and 279.59 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.63 : 471.15 = 279.59 : x
  2. Step 2: Convert to fraction form
    315.63/471.15 = 279.59/x
  3. Step 3: Cross multiply
    315.63x = 471.15 × 279.59
  4. Step 4: Simplify right side
    315.63x = 131,726.47
  5. Step 5: Solve for x
    x = 131,726.47/315.63
  6. Step 6: Final answer
    x = 417.34

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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.