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Finding the Fourth Proportional to 369.92, 509.90 and 290.02

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Solution

The fourth proportional to 369.92, 509.90 and 290.02 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 509.90 = 290.02 : x
  2. Step 2: Convert to fraction form
    369.92/509.90 = 290.02/x
  3. Step 3: Cross multiply
    369.92x = 509.90 × 290.02
  4. Step 4: Simplify right side
    369.92x = 147,881.20
  5. Step 5: Solve for x
    x = 147,881.20/369.92
  6. Step 6: Final answer
    x = 399.77

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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.