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Finding the Fourth Proportional to 536.25, 739.95 and 315.21

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Solution

The fourth proportional to 536.25, 739.95 and 315.21 is: 434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.25 : 739.95 = 315.21 : x
  2. Step 2: Convert to fraction form
    536.25/739.95 = 315.21/x
  3. Step 3: Cross multiply
    536.25x = 739.95 × 315.21
  4. Step 4: Simplify right side
    536.25x = 233,239.64
  5. Step 5: Solve for x
    x = 233,239.64/536.25
  6. Step 6: Final answer
    x = 434.95

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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.