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Finding the Fourth Proportional to 377.40, 564.90 and 269.40

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Solution

The fourth proportional to 377.40, 564.90 and 269.40 is: 403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.40 : 564.90 = 269.40 : x
  2. Step 2: Convert to fraction form
    377.40/564.90 = 269.40/x
  3. Step 3: Cross multiply
    377.40x = 564.90 × 269.40
  4. Step 4: Simplify right side
    377.40x = 152,184.06
  5. Step 5: Solve for x
    x = 152,184.06/377.40
  6. Step 6: Final answer
    x = 403.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.