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Finding the Fourth Proportional to 319.19, 476.20 and 284.56

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Solution

The fourth proportional to 319.19, 476.20 and 284.56 is: 424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 476.20 = 284.56 : x
  2. Step 2: Convert to fraction form
    319.19/476.20 = 284.56/x
  3. Step 3: Cross multiply
    319.19x = 476.20 × 284.56
  4. Step 4: Simplify right side
    319.19x = 135,506.64
  5. Step 5: Solve for x
    x = 135,506.64/319.19
  6. Step 6: Final answer
    x = 424.54

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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.