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Finding the Fourth Proportional to 317.15, 437.69 and 184.41

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Solution

The fourth proportional to 317.15, 437.69 and 184.41 is: 254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.15 : 437.69 = 184.41 : x
  2. Step 2: Convert to fraction form
    317.15/437.69 = 184.41/x
  3. Step 3: Cross multiply
    317.15x = 437.69 × 184.41
  4. Step 4: Simplify right side
    317.15x = 80,715.51
  5. Step 5: Solve for x
    x = 80,715.51/317.15
  6. Step 6: Final answer
    x = 254.50

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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.