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Finding the Fourth Proportional to 407.66, 608.51 and 350.25

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Solution

The fourth proportional to 407.66, 608.51 and 350.25 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 608.51 = 350.25 : x
  2. Step 2: Convert to fraction form
    407.66/608.51 = 350.25/x
  3. Step 3: Cross multiply
    407.66x = 608.51 × 350.25
  4. Step 4: Simplify right side
    407.66x = 213,133.13
  5. Step 5: Solve for x
    x = 213,133.13/407.66
  6. Step 6: Final answer
    x = 522.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.