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Finding the Fourth Proportional to 384.88, 580.75 and 369.88

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Solution

The fourth proportional to 384.88, 580.75 and 369.88 is: 558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.88 : 580.75 = 369.88 : x
  2. Step 2: Convert to fraction form
    384.88/580.75 = 369.88/x
  3. Step 3: Cross multiply
    384.88x = 580.75 × 369.88
  4. Step 4: Simplify right side
    384.88x = 214,807.81
  5. Step 5: Solve for x
    x = 214,807.81/384.88
  6. Step 6: Final answer
    x = 558.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.