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Finding the Fourth Proportional to 368.70, 509.10 and 285.66

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Solution

The fourth proportional to 368.70, 509.10 and 285.66 is: 394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.70 : 509.10 = 285.66 : x
  2. Step 2: Convert to fraction form
    368.70/509.10 = 285.66/x
  3. Step 3: Cross multiply
    368.70x = 509.10 × 285.66
  4. Step 4: Simplify right side
    368.70x = 145,429.51
  5. Step 5: Solve for x
    x = 145,429.51/368.70
  6. Step 6: Final answer
    x = 394.44

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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.