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Finding the Fourth Proportional to 369.60, 553.32 and 260.88

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Solution

The fourth proportional to 369.60, 553.32 and 260.88 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 553.32 = 260.88 : x
  2. Step 2: Convert to fraction form
    369.60/553.32 = 260.88/x
  3. Step 3: Cross multiply
    369.60x = 553.32 × 260.88
  4. Step 4: Simplify right side
    369.60x = 144,350.12
  5. Step 5: Solve for x
    x = 144,350.12/369.60
  6. Step 6: Final answer
    x = 390.56

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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.