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Finding the Fourth Proportional to 435.80, 601.64 and 296.66

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Solution

The fourth proportional to 435.80, 601.64 and 296.66 is: 409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.80 : 601.64 = 296.66 : x
  2. Step 2: Convert to fraction form
    435.80/601.64 = 296.66/x
  3. Step 3: Cross multiply
    435.80x = 601.64 × 296.66
  4. Step 4: Simplify right side
    435.80x = 178,482.52
  5. Step 5: Solve for x
    x = 178,482.52/435.80
  6. Step 6: Final answer
    x = 409.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.