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Finding the Fourth Proportional to 536.16, 740.52 and 396.08

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Solution

The fourth proportional to 536.16, 740.52 and 396.08 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.16 : 740.52 = 396.08 : x
  2. Step 2: Convert to fraction form
    536.16/740.52 = 396.08/x
  3. Step 3: Cross multiply
    536.16x = 740.52 × 396.08
  4. Step 4: Simplify right side
    536.16x = 293,305.16
  5. Step 5: Solve for x
    x = 293,305.16/536.16
  6. Step 6: Final answer
    x = 547.05

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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.