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Finding the Fourth Proportional to 145.54, 215.34 and 145.14

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Solution

The fourth proportional to 145.54, 215.34 and 145.14 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.54 : 215.34 = 145.14 : x
  2. Step 2: Convert to fraction form
    145.54/215.34 = 145.14/x
  3. Step 3: Cross multiply
    145.54x = 215.34 × 145.14
  4. Step 4: Simplify right side
    145.54x = 31,254.45
  5. Step 5: Solve for x
    x = 31,254.45/145.54
  6. Step 6: Final answer
    x = 214.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.