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Finding the Fourth Proportional to 315.42, 472.04 and 288.03

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Solution

The fourth proportional to 315.42, 472.04 and 288.03 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 472.04 = 288.03 : x
  2. Step 2: Convert to fraction form
    315.42/472.04 = 288.03/x
  3. Step 3: Cross multiply
    315.42x = 472.04 × 288.03
  4. Step 4: Simplify right side
    315.42x = 135,959.32
  5. Step 5: Solve for x
    x = 135,959.32/315.42
  6. Step 6: Final answer
    x = 431.05

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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.