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Finding the Fourth Proportional to 340.04, 510.20 and 145.16

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Solution

The fourth proportional to 340.04, 510.20 and 145.16 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.04 : 510.20 = 145.16 : x
  2. Step 2: Convert to fraction form
    340.04/510.20 = 145.16/x
  3. Step 3: Cross multiply
    340.04x = 510.20 × 145.16
  4. Step 4: Simplify right side
    340.04x = 74,060.63
  5. Step 5: Solve for x
    x = 74,060.63/340.04
  6. Step 6: Final answer
    x = 217.80

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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.