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Finding the Fourth Proportional to 510.08, 765.30 and 253.40

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Solution

The fourth proportional to 510.08, 765.30 and 253.40 is: 380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 765.30 = 253.40 : x
  2. Step 2: Convert to fraction form
    510.08/765.30 = 253.40/x
  3. Step 3: Cross multiply
    510.08x = 765.30 × 253.40
  4. Step 4: Simplify right side
    510.08x = 193,927.02
  5. Step 5: Solve for x
    x = 193,927.02/510.08
  6. Step 6: Final answer
    x = 380.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.