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Finding the Fourth Proportional to 433.35, 598.14 and 258.72

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Solution

The fourth proportional to 433.35, 598.14 and 258.72 is: 357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 598.14 = 258.72 : x
  2. Step 2: Convert to fraction form
    433.35/598.14 = 258.72/x
  3. Step 3: Cross multiply
    433.35x = 598.14 × 258.72
  4. Step 4: Simplify right side
    433.35x = 154,750.78
  5. Step 5: Solve for x
    x = 154,750.78/433.35
  6. Step 6: Final answer
    x = 357.10

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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.