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Finding the Fourth Proportional to 368.75, 508.41 and 302.12

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Solution

The fourth proportional to 368.75, 508.41 and 302.12 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.75 : 508.41 = 302.12 : x
  2. Step 2: Convert to fraction form
    368.75/508.41 = 302.12/x
  3. Step 3: Cross multiply
    368.75x = 508.41 × 302.12
  4. Step 4: Simplify right side
    368.75x = 153,598.05
  5. Step 5: Solve for x
    x = 153,598.05/368.75
  6. Step 6: Final answer
    x = 416.53

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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.