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Finding the Fourth Proportional to 368.61, 509.21 and 286.77

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Solution

The fourth proportional to 368.61, 509.21 and 286.77 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.61 : 509.21 = 286.77 : x
  2. Step 2: Convert to fraction form
    368.61/509.21 = 286.77/x
  3. Step 3: Cross multiply
    368.61x = 509.21 × 286.77
  4. Step 4: Simplify right side
    368.61x = 146,024.72
  5. Step 5: Solve for x
    x = 146,024.72/368.61
  6. Step 6: Final answer
    x = 396.15

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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.