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Finding the Fourth Proportional to 441.02, 661.32 and 258.47

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Solution

The fourth proportional to 441.02, 661.32 and 258.47 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.02 : 661.32 = 258.47 : x
  2. Step 2: Convert to fraction form
    441.02/661.32 = 258.47/x
  3. Step 3: Cross multiply
    441.02x = 661.32 × 258.47
  4. Step 4: Simplify right side
    441.02x = 170,931.38
  5. Step 5: Solve for x
    x = 170,931.38/441.02
  6. Step 6: Final answer
    x = 387.58

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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.