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Finding the Fourth Proportional to 292.05, 435.35 and 287.60

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Solution

The fourth proportional to 292.05, 435.35 and 287.60 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.05 : 435.35 = 287.60 : x
  2. Step 2: Convert to fraction form
    292.05/435.35 = 287.60/x
  3. Step 3: Cross multiply
    292.05x = 435.35 × 287.60
  4. Step 4: Simplify right side
    292.05x = 125,203.05
  5. Step 5: Solve for x
    x = 125,203.05/292.05
  6. Step 6: Final answer
    x = 428.70

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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.