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Finding the Fourth Proportional to 295.02, 442.35 and 89.53

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Solution

The fourth proportional to 295.02, 442.35 and 89.53 is: 134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.02 : 442.35 = 89.53 : x
  2. Step 2: Convert to fraction form
    295.02/442.35 = 89.53/x
  3. Step 3: Cross multiply
    295.02x = 442.35 × 89.53
  4. Step 4: Simplify right side
    295.02x = 39,602.49
  5. Step 5: Solve for x
    x = 39,602.49/295.02
  6. Step 6: Final answer
    x = 134.24

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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.