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Finding the Fourth Proportional to 317.40, 474.47 and 244.50

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Solution

The fourth proportional to 317.40, 474.47 and 244.50 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 474.47 = 244.50 : x
  2. Step 2: Convert to fraction form
    317.40/474.47 = 244.50/x
  3. Step 3: Cross multiply
    317.40x = 474.47 × 244.50
  4. Step 4: Simplify right side
    317.40x = 116,006.69
  5. Step 5: Solve for x
    x = 116,006.69/317.40
  6. Step 6: Final answer
    x = 365.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.