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Finding the Fourth Proportional to 434.95, 600.26 and 258.02

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Solution

The fourth proportional to 434.95, 600.26 and 258.02 is: 356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 600.26 = 258.02 : x
  2. Step 2: Convert to fraction form
    434.95/600.26 = 258.02/x
  3. Step 3: Cross multiply
    434.95x = 600.26 × 258.02
  4. Step 4: Simplify right side
    434.95x = 154,877.85
  5. Step 5: Solve for x
    x = 154,877.85/434.95
  6. Step 6: Final answer
    x = 356.08

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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.