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Finding the Fourth Proportional to 315.72, 475.24 and 288.03

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Solution

The fourth proportional to 315.72, 475.24 and 288.03 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 475.24 = 288.03 : x
  2. Step 2: Convert to fraction form
    315.72/475.24 = 288.03/x
  3. Step 3: Cross multiply
    315.72x = 475.24 × 288.03
  4. Step 4: Simplify right side
    315.72x = 136,881.94
  5. Step 5: Solve for x
    x = 136,881.94/315.72
  6. Step 6: Final answer
    x = 433.55

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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.