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Finding the Fourth Proportional to 405.18, 610.11 and 297.72

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Solution

The fourth proportional to 405.18, 610.11 and 297.72 is: 448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 610.11 = 297.72 : x
  2. Step 2: Convert to fraction form
    405.18/610.11 = 297.72/x
  3. Step 3: Cross multiply
    405.18x = 610.11 × 297.72
  4. Step 4: Simplify right side
    405.18x = 181,641.95
  5. Step 5: Solve for x
    x = 181,641.95/405.18
  6. Step 6: Final answer
    x = 448.30

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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.