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Finding the Fourth Proportional to 384.80, 530.88 and 235.34

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Solution

The fourth proportional to 384.80, 530.88 and 235.34 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 530.88 = 235.34 : x
  2. Step 2: Convert to fraction form
    384.80/530.88 = 235.34/x
  3. Step 3: Cross multiply
    384.80x = 530.88 × 235.34
  4. Step 4: Simplify right side
    384.80x = 124,937.30
  5. Step 5: Solve for x
    x = 124,937.30/384.80
  6. Step 6: Final answer
    x = 324.68

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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.