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Finding the Fourth Proportional to 211.47, 317.00 and 156.39

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Solution

The fourth proportional to 211.47, 317.00 and 156.39 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.47 : 317.00 = 156.39 : x
  2. Step 2: Convert to fraction form
    211.47/317.00 = 156.39/x
  3. Step 3: Cross multiply
    211.47x = 317.00 × 156.39
  4. Step 4: Simplify right side
    211.47x = 49,573.26
  5. Step 5: Solve for x
    x = 49,573.26/211.47
  6. Step 6: Final answer
    x = 234.43

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