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Finding the Fourth Proportional to 384.42, 527.05 and 377.51

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Solution

The fourth proportional to 384.42, 527.05 and 377.51 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.42 : 527.05 = 377.51 : x
  2. Step 2: Convert to fraction form
    384.42/527.05 = 377.51/x
  3. Step 3: Cross multiply
    384.42x = 527.05 × 377.51
  4. Step 4: Simplify right side
    384.42x = 198,963.07
  5. Step 5: Solve for x
    x = 198,963.07/384.42
  6. Step 6: Final answer
    x = 517.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.