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Finding the Fourth Proportional to 384.30, 531.01 and 302.06

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Solution

The fourth proportional to 384.30, 531.01 and 302.06 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 531.01 = 302.06 : x
  2. Step 2: Convert to fraction form
    384.30/531.01 = 302.06/x
  3. Step 3: Cross multiply
    384.30x = 531.01 × 302.06
  4. Step 4: Simplify right side
    384.30x = 160,392.72
  5. Step 5: Solve for x
    x = 160,392.72/384.30
  6. Step 6: Final answer
    x = 417.37

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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.