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Finding the Fourth Proportional to 313.61, 431.69 and 278.58

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Solution

The fourth proportional to 313.61, 431.69 and 278.58 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 431.69 = 278.58 : x
  2. Step 2: Convert to fraction form
    313.61/431.69 = 278.58/x
  3. Step 3: Cross multiply
    313.61x = 431.69 × 278.58
  4. Step 4: Simplify right side
    313.61x = 120,260.20
  5. Step 5: Solve for x
    x = 120,260.20/313.61
  6. Step 6: Final answer
    x = 383.47

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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.