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Finding the Fourth Proportional to 284.18, 424.20 and 243.86

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Solution

The fourth proportional to 284.18, 424.20 and 243.86 is: 364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.18 : 424.20 = 243.86 : x
  2. Step 2: Convert to fraction form
    284.18/424.20 = 243.86/x
  3. Step 3: Cross multiply
    284.18x = 424.20 × 243.86
  4. Step 4: Simplify right side
    284.18x = 103,444.19
  5. Step 5: Solve for x
    x = 103,444.19/284.18
  6. Step 6: Final answer
    x = 364.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.