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Finding the Fourth Proportional to 434.54, 600.19 and 316.32

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Solution

The fourth proportional to 434.54, 600.19 and 316.32 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.54 : 600.19 = 316.32 : x
  2. Step 2: Convert to fraction form
    434.54/600.19 = 316.32/x
  3. Step 3: Cross multiply
    434.54x = 600.19 × 316.32
  4. Step 4: Simplify right side
    434.54x = 189,852.02
  5. Step 5: Solve for x
    x = 189,852.02/434.54
  6. Step 6: Final answer
    x = 436.91

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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.