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Finding the Fourth Proportional to 440.66, 660.75 and 258.08

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Solution

The fourth proportional to 440.66, 660.75 and 258.08 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.66 : 660.75 = 258.08 : x
  2. Step 2: Convert to fraction form
    440.66/660.75 = 258.08/x
  3. Step 3: Cross multiply
    440.66x = 660.75 × 258.08
  4. Step 4: Simplify right side
    440.66x = 170,526.36
  5. Step 5: Solve for x
    x = 170,526.36/440.66
  6. Step 6: Final answer
    x = 386.98

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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.