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Finding the Fourth Proportional to 284.86, 392.64 and 238.06

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Solution

The fourth proportional to 284.86, 392.64 and 238.06 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.86 : 392.64 = 238.06 : x
  2. Step 2: Convert to fraction form
    284.86/392.64 = 238.06/x
  3. Step 3: Cross multiply
    284.86x = 392.64 × 238.06
  4. Step 4: Simplify right side
    284.86x = 93,471.88
  5. Step 5: Solve for x
    x = 93,471.88/284.86
  6. Step 6: Final answer
    x = 328.13

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Why These Related Problems?

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