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Finding the Fourth Proportional to 407.40, 610.16 and 291.36

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Solution

The fourth proportional to 407.40, 610.16 and 291.36 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 610.16 = 291.36 : x
  2. Step 2: Convert to fraction form
    407.40/610.16 = 291.36/x
  3. Step 3: Cross multiply
    407.40x = 610.16 × 291.36
  4. Step 4: Simplify right side
    407.40x = 177,776.22
  5. Step 5: Solve for x
    x = 177,776.22/407.40
  6. Step 6: Final answer
    x = 436.37

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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.