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Finding the Fourth Proportional to 435.42, 599.54 and 340.66

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Solution

The fourth proportional to 435.42, 599.54 and 340.66 is: 469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.42 : 599.54 = 340.66 : x
  2. Step 2: Convert to fraction form
    435.42/599.54 = 340.66/x
  3. Step 3: Cross multiply
    435.42x = 599.54 × 340.66
  4. Step 4: Simplify right side
    435.42x = 204,239.30
  5. Step 5: Solve for x
    x = 204,239.30/435.42
  6. Step 6: Final answer
    x = 469.06

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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.