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Finding the Fourth Proportional to 292.04, 435.02 and 282.05

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Solution

The fourth proportional to 292.04, 435.02 and 282.05 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 435.02 = 282.05 : x
  2. Step 2: Convert to fraction form
    292.04/435.02 = 282.05/x
  3. Step 3: Cross multiply
    292.04x = 435.02 × 282.05
  4. Step 4: Simplify right side
    292.04x = 122,697.02
  5. Step 5: Solve for x
    x = 122,697.02/292.04
  6. Step 6: Final answer
    x = 420.14

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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.