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Finding the Fourth Proportional to 284.61, 393.11 and 240.50

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Solution

The fourth proportional to 284.61, 393.11 and 240.50 is: 332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 393.11 = 240.50 : x
  2. Step 2: Convert to fraction form
    284.61/393.11 = 240.50/x
  3. Step 3: Cross multiply
    284.61x = 393.11 × 240.50
  4. Step 4: Simplify right side
    284.61x = 94,539.79
  5. Step 5: Solve for x
    x = 94,539.79/284.61
  6. Step 6: Final answer
    x = 332.17

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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.