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Finding the Fourth Proportional to 331.94, 495.47 and 307.50

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Solution

The fourth proportional to 331.94, 495.47 and 307.50 is: 458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.94 : 495.47 = 307.50 : x
  2. Step 2: Convert to fraction form
    331.94/495.47 = 307.50/x
  3. Step 3: Cross multiply
    331.94x = 495.47 × 307.50
  4. Step 4: Simplify right side
    331.94x = 152,355.49
  5. Step 5: Solve for x
    x = 152,355.49/331.94
  6. Step 6: Final answer
    x = 458.99

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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.