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Finding the Fourth Proportional to 295.73, 407.40 and 207.04

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Solution

The fourth proportional to 295.73, 407.40 and 207.04 is: 285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 407.40 = 207.04 : x
  2. Step 2: Convert to fraction form
    295.73/407.40 = 207.04/x
  3. Step 3: Cross multiply
    295.73x = 407.40 × 207.04
  4. Step 4: Simplify right side
    295.73x = 84,347.06
  5. Step 5: Solve for x
    x = 84,347.06/295.73
  6. Step 6: Final answer
    x = 285.22

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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.