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Finding the Fourth Proportional to 428.19, 590.91 and 278.87

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Solution

The fourth proportional to 428.19, 590.91 and 278.87 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.19 : 590.91 = 278.87 : x
  2. Step 2: Convert to fraction form
    428.19/590.91 = 278.87/x
  3. Step 3: Cross multiply
    428.19x = 590.91 × 278.87
  4. Step 4: Simplify right side
    428.19x = 164,787.07
  5. Step 5: Solve for x
    x = 164,787.07/428.19
  6. Step 6: Final answer
    x = 384.85

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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.