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Finding the Fourth Proportional to 434.48, 599.33 and 316.32

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Solution

The fourth proportional to 434.48, 599.33 and 316.32 is: 436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.48 : 599.33 = 316.32 : x
  2. Step 2: Convert to fraction form
    434.48/599.33 = 316.32/x
  3. Step 3: Cross multiply
    434.48x = 599.33 × 316.32
  4. Step 4: Simplify right side
    434.48x = 189,578.61
  5. Step 5: Solve for x
    x = 189,578.61/434.48
  6. Step 6: Final answer
    x = 436.34

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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.