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Finding the Fourth Proportional to 284.88, 392.99 and 202.10

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Solution

The fourth proportional to 284.88, 392.99 and 202.10 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 392.99 = 202.10 : x
  2. Step 2: Convert to fraction form
    284.88/392.99 = 202.10/x
  3. Step 3: Cross multiply
    284.88x = 392.99 × 202.10
  4. Step 4: Simplify right side
    284.88x = 79,423.28
  5. Step 5: Solve for x
    x = 79,423.28/284.88
  6. Step 6: Final answer
    x = 278.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.