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Finding the Fourth Proportional to 1.07, 1.60 and 0.40

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Solution

The fourth proportional to 1.07, 1.60 and 0.40 is: 0.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.07 : 1.60 = 0.40 : x
  2. Step 2: Convert to fraction form
    1.07/1.60 = 0.40/x
  3. Step 3: Cross multiply
    1.07x = 1.60 × 0.40
  4. Step 4: Simplify right side
    1.07x = 0.64
  5. Step 5: Solve for x
    x = 0.64/1.07
  6. Step 6: Final answer
    x = 0.60

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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.