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Finding the Fourth Proportional to 292.12, 435.83 and 278.36

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Solution

The fourth proportional to 292.12, 435.83 and 278.36 is: 415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 435.83 = 278.36 : x
  2. Step 2: Convert to fraction form
    292.12/435.83 = 278.36/x
  3. Step 3: Cross multiply
    292.12x = 435.83 × 278.36
  4. Step 4: Simplify right side
    292.12x = 121,317.64
  5. Step 5: Solve for x
    x = 121,317.64/292.12
  6. Step 6: Final answer
    x = 415.30

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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.