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Finding the Fourth Proportional to 384.65, 529.31 and 368.27

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Solution

The fourth proportional to 384.65, 529.31 and 368.27 is: 506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.65 : 529.31 = 368.27 : x
  2. Step 2: Convert to fraction form
    384.65/529.31 = 368.27/x
  3. Step 3: Cross multiply
    384.65x = 529.31 × 368.27
  4. Step 4: Simplify right side
    384.65x = 194,927.15
  5. Step 5: Solve for x
    x = 194,927.15/384.65
  6. Step 6: Final answer
    x = 506.76

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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.