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Finding the Fourth Proportional to 461.16, 694.07 and 346.21

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Solution

The fourth proportional to 461.16, 694.07 and 346.21 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 694.07 = 346.21 : x
  2. Step 2: Convert to fraction form
    461.16/694.07 = 346.21/x
  3. Step 3: Cross multiply
    461.16x = 694.07 × 346.21
  4. Step 4: Simplify right side
    461.16x = 240,291.81
  5. Step 5: Solve for x
    x = 240,291.81/461.16
  6. Step 6: Final answer
    x = 521.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.