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Finding the Fourth Proportional to 315.93, 471.50 and 307.73

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Solution

The fourth proportional to 315.93, 471.50 and 307.73 is: 459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 471.50 = 307.73 : x
  2. Step 2: Convert to fraction form
    315.93/471.50 = 307.73/x
  3. Step 3: Cross multiply
    315.93x = 471.50 × 307.73
  4. Step 4: Simplify right side
    315.93x = 145,090.80
  5. Step 5: Solve for x
    x = 145,090.80/315.93
  6. Step 6: Final answer
    x = 459.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.