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Finding the Fourth Proportional to 536.12, 740 and 315.08

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Solution

The fourth proportional to 536.12, 740 and 315.08 is: 434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 740 = 315.08 : x
  2. Step 2: Convert to fraction form
    536.12/740 = 315.08/x
  3. Step 3: Cross multiply
    536.12x = 740 × 315.08
  4. Step 4: Simplify right side
    536.12x = 233,159.20
  5. Step 5: Solve for x
    x = 233,159.20/536.12
  6. Step 6: Final answer
    x = 434.90

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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.