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Finding the Fourth Proportional to 315.93, 471.43 and 250.19

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Solution

The fourth proportional to 315.93, 471.43 and 250.19 is: 373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 471.43 = 250.19 : x
  2. Step 2: Convert to fraction form
    315.93/471.43 = 250.19/x
  3. Step 3: Cross multiply
    315.93x = 471.43 × 250.19
  4. Step 4: Simplify right side
    315.93x = 117,943.46
  5. Step 5: Solve for x
    x = 117,943.46/315.93
  6. Step 6: Final answer
    x = 373.32

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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.