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Finding the Fourth Proportional to 369.59, 509.51 and 290.77

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Solution

The fourth proportional to 369.59, 509.51 and 290.77 is: 400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.59 : 509.51 = 290.77 : x
  2. Step 2: Convert to fraction form
    369.59/509.51 = 290.77/x
  3. Step 3: Cross multiply
    369.59x = 509.51 × 290.77
  4. Step 4: Simplify right side
    369.59x = 148,152.36
  5. Step 5: Solve for x
    x = 148,152.36/369.59
  6. Step 6: Final answer
    x = 400.85

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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.