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Finding the Fourth Proportional to 536.04, 803.52 and 211.08

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Solution

The fourth proportional to 536.04, 803.52 and 211.08 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 803.52 = 211.08 : x
  2. Step 2: Convert to fraction form
    536.04/803.52 = 211.08/x
  3. Step 3: Cross multiply
    536.04x = 803.52 × 211.08
  4. Step 4: Simplify right side
    536.04x = 169,607.00
  5. Step 5: Solve for x
    x = 169,607.00/536.04
  6. Step 6: Final answer
    x = 316.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.