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Finding the Fourth Proportional to 446.77, 616.50 and 260.25

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Solution

The fourth proportional to 446.77, 616.50 and 260.25 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.77 : 616.50 = 260.25 : x
  2. Step 2: Convert to fraction form
    446.77/616.50 = 260.25/x
  3. Step 3: Cross multiply
    446.77x = 616.50 × 260.25
  4. Step 4: Simplify right side
    446.77x = 160,444.13
  5. Step 5: Solve for x
    x = 160,444.13/446.77
  6. Step 6: Final answer
    x = 359.12

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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.