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Finding the Fourth Proportional to 434.18, 598.74 and 301.52

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Solution

The fourth proportional to 434.18, 598.74 and 301.52 is: 415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.18 : 598.74 = 301.52 : x
  2. Step 2: Convert to fraction form
    434.18/598.74 = 301.52/x
  3. Step 3: Cross multiply
    434.18x = 598.74 × 301.52
  4. Step 4: Simplify right side
    434.18x = 180,532.08
  5. Step 5: Solve for x
    x = 180,532.08/434.18
  6. Step 6: Final answer
    x = 415.80

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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.