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Finding the Fourth Proportional to 435.13, 599.63 and 346.32

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Solution

The fourth proportional to 435.13, 599.63 and 346.32 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.13 : 599.63 = 346.32 : x
  2. Step 2: Convert to fraction form
    435.13/599.63 = 346.32/x
  3. Step 3: Cross multiply
    435.13x = 599.63 × 346.32
  4. Step 4: Simplify right side
    435.13x = 207,662.13
  5. Step 5: Solve for x
    x = 207,662.13/435.13
  6. Step 6: Final answer
    x = 477.24

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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.