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Finding the Fourth Proportional to 469.86, 648.39 and 260.05

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Solution

The fourth proportional to 469.86, 648.39 and 260.05 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 648.39 = 260.05 : x
  2. Step 2: Convert to fraction form
    469.86/648.39 = 260.05/x
  3. Step 3: Cross multiply
    469.86x = 648.39 × 260.05
  4. Step 4: Simplify right side
    469.86x = 168,613.82
  5. Step 5: Solve for x
    x = 168,613.82/469.86
  6. Step 6: Final answer
    x = 358.86

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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.