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Finding the Fourth Proportional to 293.04, 435.87 and 292.05

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Solution

The fourth proportional to 293.04, 435.87 and 292.05 is: 434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 435.87 = 292.05 : x
  2. Step 2: Convert to fraction form
    293.04/435.87 = 292.05/x
  3. Step 3: Cross multiply
    293.04x = 435.87 × 292.05
  4. Step 4: Simplify right side
    293.04x = 127,295.83
  5. Step 5: Solve for x
    x = 127,295.83/293.04
  6. Step 6: Final answer
    x = 434.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.