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Finding the Fourth Proportional to 315.93, 472.84 and 288.56

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Solution

The fourth proportional to 315.93, 472.84 and 288.56 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 472.84 = 288.56 : x
  2. Step 2: Convert to fraction form
    315.93/472.84 = 288.56/x
  3. Step 3: Cross multiply
    315.93x = 472.84 × 288.56
  4. Step 4: Simplify right side
    315.93x = 136,442.71
  5. Step 5: Solve for x
    x = 136,442.71/315.93
  6. Step 6: Final answer
    x = 431.88

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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.