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Finding the Fourth Proportional to 312.61, 430.32 and 277.58

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Solution

The fourth proportional to 312.61, 430.32 and 277.58 is: 382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 430.32 = 277.58 : x
  2. Step 2: Convert to fraction form
    312.61/430.32 = 277.58/x
  3. Step 3: Cross multiply
    312.61x = 430.32 × 277.58
  4. Step 4: Simplify right side
    312.61x = 119,444.69
  5. Step 5: Solve for x
    x = 119,444.69/312.61
  6. Step 6: Final answer
    x = 382.09

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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.