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Finding the Fourth Proportional to 434.63, 599.78 and 238.14

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Solution

The fourth proportional to 434.63, 599.78 and 238.14 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 599.78 = 238.14 : x
  2. Step 2: Convert to fraction form
    434.63/599.78 = 238.14/x
  3. Step 3: Cross multiply
    434.63x = 599.78 × 238.14
  4. Step 4: Simplify right side
    434.63x = 142,834.45
  5. Step 5: Solve for x
    x = 142,834.45/434.63
  6. Step 6: Final answer
    x = 328.64

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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.