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Finding the Fourth Proportional to 536.15, 740.17 and 378.91

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Solution

The fourth proportional to 536.15, 740.17 and 378.91 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 740.17 = 378.91 : x
  2. Step 2: Convert to fraction form
    536.15/740.17 = 378.91/x
  3. Step 3: Cross multiply
    536.15x = 740.17 × 378.91
  4. Step 4: Simplify right side
    536.15x = 280,459.21
  5. Step 5: Solve for x
    x = 280,459.21/536.15
  6. Step 6: Final answer
    x = 523.10

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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.