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Finding the Fourth Proportional to 319.10, 476.10 and 284.45

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Solution

The fourth proportional to 319.10, 476.10 and 284.45 is: 424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 476.10 = 284.45 : x
  2. Step 2: Convert to fraction form
    319.10/476.10 = 284.45/x
  3. Step 3: Cross multiply
    319.10x = 476.10 × 284.45
  4. Step 4: Simplify right side
    319.10x = 135,425.22
  5. Step 5: Solve for x
    x = 135,425.22/319.10
  6. Step 6: Final answer
    x = 424.40

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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.