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Finding the Fourth Proportional to 400.61, 552.65 and 260.84

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Solution

The fourth proportional to 400.61, 552.65 and 260.84 is: 359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.61 : 552.65 = 260.84 : x
  2. Step 2: Convert to fraction form
    400.61/552.65 = 260.84/x
  3. Step 3: Cross multiply
    400.61x = 552.65 × 260.84
  4. Step 4: Simplify right side
    400.61x = 144,153.30
  5. Step 5: Solve for x
    x = 144,153.30/400.61
  6. Step 6: Final answer
    x = 359.84

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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.