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Finding the Fourth Proportional to 369.71, 509.66 and 290.88

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Solution

The fourth proportional to 369.71, 509.66 and 290.88 is: 400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.71 : 509.66 = 290.88 : x
  2. Step 2: Convert to fraction form
    369.71/509.66 = 290.88/x
  3. Step 3: Cross multiply
    369.71x = 509.66 × 290.88
  4. Step 4: Simplify right side
    369.71x = 148,250.77
  5. Step 5: Solve for x
    x = 148,250.77/369.71
  6. Step 6: Final answer
    x = 400.99

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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.