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Finding the Fourth Proportional to 375.12, 560.40 and 313.61

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Solution

The fourth proportional to 375.12, 560.40 and 313.61 is: 468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 560.40 = 313.61 : x
  2. Step 2: Convert to fraction form
    375.12/560.40 = 313.61/x
  3. Step 3: Cross multiply
    375.12x = 560.40 × 313.61
  4. Step 4: Simplify right side
    375.12x = 175,745.52
  5. Step 5: Solve for x
    x = 175,745.52/375.12
  6. Step 6: Final answer
    x = 468.51

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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.