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Finding the Fourth Proportional to 368.16, 506.80 and 302.56

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Solution

The fourth proportional to 368.16, 506.80 and 302.56 is: 416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 506.80 = 302.56 : x
  2. Step 2: Convert to fraction form
    368.16/506.80 = 302.56/x
  3. Step 3: Cross multiply
    368.16x = 506.80 × 302.56
  4. Step 4: Simplify right side
    368.16x = 153,337.41
  5. Step 5: Solve for x
    x = 153,337.41/368.16
  6. Step 6: Final answer
    x = 416.50

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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.