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Finding the Fourth Proportional to 155.58, 214.64 and 90.07

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Solution

The fourth proportional to 155.58, 214.64 and 90.07 is: 124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.58 : 214.64 = 90.07 : x
  2. Step 2: Convert to fraction form
    155.58/214.64 = 90.07/x
  3. Step 3: Cross multiply
    155.58x = 214.64 × 90.07
  4. Step 4: Simplify right side
    155.58x = 19,331.55
  5. Step 5: Solve for x
    x = 19,331.55/155.58
  6. Step 6: Final answer
    x = 124.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.