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Finding the Fourth Proportional to 642.94, 964.95 and 278

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Solution

The fourth proportional to 642.94, 964.95 and 278 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 964.95 = 278 : x
  2. Step 2: Convert to fraction form
    642.94/964.95 = 278/x
  3. Step 3: Cross multiply
    642.94x = 964.95 × 278
  4. Step 4: Simplify right side
    642.94x = 268,256.10
  5. Step 5: Solve for x
    x = 268,256.10/642.94
  6. Step 6: Final answer
    x = 417.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.