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Finding the Fourth Proportional to 293.04, 436.51 and 283.05

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Solution

The fourth proportional to 293.04, 436.51 and 283.05 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 436.51 = 283.05 : x
  2. Step 2: Convert to fraction form
    293.04/436.51 = 283.05/x
  3. Step 3: Cross multiply
    293.04x = 436.51 × 283.05
  4. Step 4: Simplify right side
    293.04x = 123,554.16
  5. Step 5: Solve for x
    x = 123,554.16/293.04
  6. Step 6: Final answer
    x = 421.63

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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.