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Finding the Fourth Proportional to 322.99, 482.14 and 284.07

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Solution

The fourth proportional to 322.99, 482.14 and 284.07 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.99 : 482.14 = 284.07 : x
  2. Step 2: Convert to fraction form
    322.99/482.14 = 284.07/x
  3. Step 3: Cross multiply
    322.99x = 482.14 × 284.07
  4. Step 4: Simplify right side
    322.99x = 136,961.51
  5. Step 5: Solve for x
    x = 136,961.51/322.99
  6. Step 6: Final answer
    x = 424.04

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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.