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Finding the Fourth Proportional to 313.58, 432.86 and 280.77

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Solution

The fourth proportional to 313.58, 432.86 and 280.77 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.58 : 432.86 = 280.77 : x
  2. Step 2: Convert to fraction form
    313.58/432.86 = 280.77/x
  3. Step 3: Cross multiply
    313.58x = 432.86 × 280.77
  4. Step 4: Simplify right side
    313.58x = 121,534.10
  5. Step 5: Solve for x
    x = 121,534.10/313.58
  6. Step 6: Final answer
    x = 387.57

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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.