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Finding the Fourth Proportional to 317.79, 438.66 and 207.45

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Solution

The fourth proportional to 317.79, 438.66 and 207.45 is: 286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.79 : 438.66 = 207.45 : x
  2. Step 2: Convert to fraction form
    317.79/438.66 = 207.45/x
  3. Step 3: Cross multiply
    317.79x = 438.66 × 207.45
  4. Step 4: Simplify right side
    317.79x = 91,000.02
  5. Step 5: Solve for x
    x = 91,000.02/317.79
  6. Step 6: Final answer
    x = 286.35

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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.