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Finding the Fourth Proportional to 918.87, 1,378.35 and 260.69

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Solution

The fourth proportional to 918.87, 1,378.35 and 260.69 is: 391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.87 : 1,378.35 = 260.69 : x
  2. Step 2: Convert to fraction form
    918.87/1,378.35 = 260.69/x
  3. Step 3: Cross multiply
    918.87x = 1,378.35 × 260.69
  4. Step 4: Simplify right side
    918.87x = 359,326.16
  5. Step 5: Solve for x
    x = 359,326.16/918.87
  6. Step 6: Final answer
    x = 391.05

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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.