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Finding the Fourth Proportional to 315.24, 473.82 and 307.56

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Solution

The fourth proportional to 315.24, 473.82 and 307.56 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.24 : 473.82 = 307.56 : x
  2. Step 2: Convert to fraction form
    315.24/473.82 = 307.56/x
  3. Step 3: Cross multiply
    315.24x = 473.82 × 307.56
  4. Step 4: Simplify right side
    315.24x = 145,728.08
  5. Step 5: Solve for x
    x = 145,728.08/315.24
  6. Step 6: Final answer
    x = 462.28

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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.