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Finding the Fourth Proportional to 315.71, 475.91 and 288.37

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Solution

The fourth proportional to 315.71, 475.91 and 288.37 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 475.91 = 288.37 : x
  2. Step 2: Convert to fraction form
    315.71/475.91 = 288.37/x
  3. Step 3: Cross multiply
    315.71x = 475.91 × 288.37
  4. Step 4: Simplify right side
    315.71x = 137,238.17
  5. Step 5: Solve for x
    x = 137,238.17/315.71
  6. Step 6: Final answer
    x = 434.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.