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Finding the Fourth Proportional to 345.47, 514.88 and 342.60

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Solution

The fourth proportional to 345.47, 514.88 and 342.60 is: 510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.47 : 514.88 = 342.60 : x
  2. Step 2: Convert to fraction form
    345.47/514.88 = 342.60/x
  3. Step 3: Cross multiply
    345.47x = 514.88 × 342.60
  4. Step 4: Simplify right side
    345.47x = 176,400.84
  5. Step 5: Solve for x
    x = 176,400.84/345.47
  6. Step 6: Final answer
    x = 510.62

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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.