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Finding the Fourth Proportional to 607.23, 910.04 and 278.21

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Solution

The fourth proportional to 607.23, 910.04 and 278.21 is: 416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.23 : 910.04 = 278.21 : x
  2. Step 2: Convert to fraction form
    607.23/910.04 = 278.21/x
  3. Step 3: Cross multiply
    607.23x = 910.04 × 278.21
  4. Step 4: Simplify right side
    607.23x = 253,176.29
  5. Step 5: Solve for x
    x = 253,176.29/607.23
  6. Step 6: Final answer
    x = 416.94

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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.