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Finding the Fourth Proportional to 307.66, 424.40 and 214.24

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Solution

The fourth proportional to 307.66, 424.40 and 214.24 is: 295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 424.40 = 214.24 : x
  2. Step 2: Convert to fraction form
    307.66/424.40 = 214.24/x
  3. Step 3: Cross multiply
    307.66x = 424.40 × 214.24
  4. Step 4: Simplify right side
    307.66x = 90,923.46
  5. Step 5: Solve for x
    x = 90,923.46/307.66
  6. Step 6: Final answer
    x = 295.53

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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.