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Finding the Fourth Proportional to 317.41, 437.86 and 224.00

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Solution

The fourth proportional to 317.41, 437.86 and 224.00 is: 309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.41 : 437.86 = 224.00 : x
  2. Step 2: Convert to fraction form
    317.41/437.86 = 224.00/x
  3. Step 3: Cross multiply
    317.41x = 437.86 × 224.00
  4. Step 4: Simplify right side
    317.41x = 98,080.96
  5. Step 5: Solve for x
    x = 98,080.96/317.41
  6. Step 6: Final answer
    x = 309.01

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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.