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Finding the Fourth Proportional to 341.45, 510.14 and 253.20

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Solution

The fourth proportional to 341.45, 510.14 and 253.20 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.45 : 510.14 = 253.20 : x
  2. Step 2: Convert to fraction form
    341.45/510.14 = 253.20/x
  3. Step 3: Cross multiply
    341.45x = 510.14 × 253.20
  4. Step 4: Simplify right side
    341.45x = 129,166.18
  5. Step 5: Solve for x
    x = 129,166.18/341.45
  6. Step 6: Final answer
    x = 378.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.