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Finding the Fourth Proportional to 313.87, 432.90 and 278.47

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Solution

The fourth proportional to 313.87, 432.90 and 278.47 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.87 : 432.90 = 278.47 : x
  2. Step 2: Convert to fraction form
    313.87/432.90 = 278.47/x
  3. Step 3: Cross multiply
    313.87x = 432.90 × 278.47
  4. Step 4: Simplify right side
    313.87x = 120,549.66
  5. Step 5: Solve for x
    x = 120,549.66/313.87
  6. Step 6: Final answer
    x = 384.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.