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Finding the Fourth Proportional to 317.66, 438.35 and 184.86

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Solution

The fourth proportional to 317.66, 438.35 and 184.86 is: 255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 438.35 = 184.86 : x
  2. Step 2: Convert to fraction form
    317.66/438.35 = 184.86/x
  3. Step 3: Cross multiply
    317.66x = 438.35 × 184.86
  4. Step 4: Simplify right side
    317.66x = 81,032.46
  5. Step 5: Solve for x
    x = 81,032.46/317.66
  6. Step 6: Final answer
    x = 255.10

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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.