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Finding the Fourth Proportional to 307.50, 424.08 and 214.40

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Solution

The fourth proportional to 307.50, 424.08 and 214.40 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 424.08 = 214.40 : x
  2. Step 2: Convert to fraction form
    307.50/424.08 = 214.40/x
  3. Step 3: Cross multiply
    307.50x = 424.08 × 214.40
  4. Step 4: Simplify right side
    307.50x = 90,922.75
  5. Step 5: Solve for x
    x = 90,922.75/307.50
  6. Step 6: Final answer
    x = 295.68

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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.