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Finding the Fourth Proportional to 536.68, 740.61 and 297.41

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Solution

The fourth proportional to 536.68, 740.61 and 297.41 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 740.61 = 297.41 : x
  2. Step 2: Convert to fraction form
    536.68/740.61 = 297.41/x
  3. Step 3: Cross multiply
    536.68x = 740.61 × 297.41
  4. Step 4: Simplify right side
    536.68x = 220,264.82
  5. Step 5: Solve for x
    x = 220,264.82/536.68
  6. Step 6: Final answer
    x = 410.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.