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Finding the Fourth Proportional to 385.31, 530.73 and 302.26

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Solution

The fourth proportional to 385.31, 530.73 and 302.26 is: 416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.31 : 530.73 = 302.26 : x
  2. Step 2: Convert to fraction form
    385.31/530.73 = 302.26/x
  3. Step 3: Cross multiply
    385.31x = 530.73 × 302.26
  4. Step 4: Simplify right side
    385.31x = 160,418.45
  5. Step 5: Solve for x
    x = 160,418.45/385.31
  6. Step 6: Final answer
    x = 416.34

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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.