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Finding the Fourth Proportional to 384.83, 531.40 and 302.31

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Solution

The fourth proportional to 384.83, 531.40 and 302.31 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.83 : 531.40 = 302.31 : x
  2. Step 2: Convert to fraction form
    384.83/531.40 = 302.31/x
  3. Step 3: Cross multiply
    384.83x = 531.40 × 302.31
  4. Step 4: Simplify right side
    384.83x = 160,647.53
  5. Step 5: Solve for x
    x = 160,647.53/384.83
  6. Step 6: Final answer
    x = 417.45

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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.