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Finding the Fourth Proportional to 369.97, 509.69 and 307.70

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Solution

The fourth proportional to 369.97, 509.69 and 307.70 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 509.69 = 307.70 : x
  2. Step 2: Convert to fraction form
    369.97/509.69 = 307.70/x
  3. Step 3: Cross multiply
    369.97x = 509.69 × 307.70
  4. Step 4: Simplify right side
    369.97x = 156,831.75
  5. Step 5: Solve for x
    x = 156,831.75/369.97
  6. Step 6: Final answer
    x = 423.91

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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.