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Finding the Fourth Proportional to 314.37, 432.93 and 269.76

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Solution

The fourth proportional to 314.37, 432.93 and 269.76 is: 371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.37 : 432.93 = 269.76 : x
  2. Step 2: Convert to fraction form
    314.37/432.93 = 269.76/x
  3. Step 3: Cross multiply
    314.37x = 432.93 × 269.76
  4. Step 4: Simplify right side
    314.37x = 116,787.20
  5. Step 5: Solve for x
    x = 116,787.20/314.37
  6. Step 6: Final answer
    x = 371.50

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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.