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Finding the Fourth Proportional to 368.37, 508.05 and 302.76

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Solution

The fourth proportional to 368.37, 508.05 and 302.76 is: 417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.37 : 508.05 = 302.76 : x
  2. Step 2: Convert to fraction form
    368.37/508.05 = 302.76/x
  3. Step 3: Cross multiply
    368.37x = 508.05 × 302.76
  4. Step 4: Simplify right side
    368.37x = 153,817.22
  5. Step 5: Solve for x
    x = 153,817.22/368.37
  6. Step 6: Final answer
    x = 417.56

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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.