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Finding the Fourth Proportional to 385.67, 530.26 and 346.05

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Solution

The fourth proportional to 385.67, 530.26 and 346.05 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.67 : 530.26 = 346.05 : x
  2. Step 2: Convert to fraction form
    385.67/530.26 = 346.05/x
  3. Step 3: Cross multiply
    385.67x = 530.26 × 346.05
  4. Step 4: Simplify right side
    385.67x = 183,496.47
  5. Step 5: Solve for x
    x = 183,496.47/385.67
  6. Step 6: Final answer
    x = 475.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.