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Finding the Fourth Proportional to 407.46, 608.37 and 366.51

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Solution

The fourth proportional to 407.46, 608.37 and 366.51 is: 547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 608.37 = 366.51 : x
  2. Step 2: Convert to fraction form
    407.46/608.37 = 366.51/x
  3. Step 3: Cross multiply
    407.46x = 608.37 × 366.51
  4. Step 4: Simplify right side
    407.46x = 222,973.69
  5. Step 5: Solve for x
    x = 222,973.69/407.46
  6. Step 6: Final answer
    x = 547.23

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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.