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Finding the Fourth Proportional to 345.60, 456.30 and 345.60

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Solution

The fourth proportional to 345.60, 456.30 and 345.60 is: 456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 456.30 = 345.60 : x
  2. Step 2: Convert to fraction form
    345.60/456.30 = 345.60/x
  3. Step 3: Cross multiply
    345.60x = 456.30 × 345.60
  4. Step 4: Simplify right side
    345.60x = 157,697.28
  5. Step 5: Solve for x
    x = 157,697.28/345.60
  6. Step 6: Final answer
    x = 456.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.