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Finding the Fourth Proportional to 536.86, 740.97 and 316.00

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Solution

The fourth proportional to 536.86, 740.97 and 316.00 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.86 : 740.97 = 316.00 : x
  2. Step 2: Convert to fraction form
    536.86/740.97 = 316.00/x
  3. Step 3: Cross multiply
    536.86x = 740.97 × 316.00
  4. Step 4: Simplify right side
    536.86x = 234,141.24
  5. Step 5: Solve for x
    x = 234,141.24/536.86
  6. Step 6: Final answer
    x = 436.13

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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.