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Finding the Fourth Proportional to 307.65, 425.00 and 214.65

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Solution

The fourth proportional to 307.65, 425.00 and 214.65 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 425.00 = 214.65 : x
  2. Step 2: Convert to fraction form
    307.65/425.00 = 214.65/x
  3. Step 3: Cross multiply
    307.65x = 425.00 × 214.65
  4. Step 4: Simplify right side
    307.65x = 91,225.18
  5. Step 5: Solve for x
    x = 91,225.18/307.65
  6. Step 6: Final answer
    x = 296.52

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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.