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Finding the Fourth Proportional to 368.91, 509.04 and 237.89

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Solution

The fourth proportional to 368.91, 509.04 and 237.89 is: 328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.91 : 509.04 = 237.89 : x
  2. Step 2: Convert to fraction form
    368.91/509.04 = 237.89/x
  3. Step 3: Cross multiply
    368.91x = 509.04 × 237.89
  4. Step 4: Simplify right side
    368.91x = 121,096.80
  5. Step 5: Solve for x
    x = 121,096.80/368.91
  6. Step 6: Final answer
    x = 328.26

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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.