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Finding the Fourth Proportional to 469.93, 648.47 and 260.09

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Solution

The fourth proportional to 469.93, 648.47 and 260.09 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.93 : 648.47 = 260.09 : x
  2. Step 2: Convert to fraction form
    469.93/648.47 = 260.09/x
  3. Step 3: Cross multiply
    469.93x = 648.47 × 260.09
  4. Step 4: Simplify right side
    469.93x = 168,657.48
  5. Step 5: Solve for x
    x = 168,657.48/469.93
  6. Step 6: Final answer
    x = 358.90

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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.